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Finding the Fourth Proportional to 47,672.30, 65,788.29 and 26,451.92

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Solution

The fourth proportional to 47,672.30, 65,788.29 and 26,451.92 is: 36,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,672.30 : 65,788.29 = 26,451.92 : x
  2. Step 2: Convert to fraction form
    47,672.30/65,788.29 = 26,451.92/x
  3. Step 3: Cross multiply
    47,672.30x = 65,788.29 × 26,451.92
  4. Step 4: Simplify right side
    47,672.30x = 1,740,226,584.02
  5. Step 5: Solve for x
    x = 1,740,226,584.02/47,672.30
  6. Step 6: Final answer
    x = 36,503.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.